Trigonometry – Cynthia Y. Young – 3rd Edition


The third edition of Cynthia ’s brings together all the elements that have allowed instructors and learners to successfully “bridge the gap” between classroom instruction and independent homework by overcoming common barriers and confidence in ’ ability to do mathematics. Written in a clear voice that speaks to students and mirrors how instructors communicate in lecture, Young’s hallmark pedagogy enables students to become independent, successful learners.

Varied exercise types and projects keep the learning fresh and motivating. Young continues her tradition of fostering a love for succeeding in mathematics by introducing inquiry-based learning projects in this edition, providing learners an opportunity to master the material with more freedom while reinforcing mathematical skills and intuition.

Table of Contents

1 Right Triangle Trigonometry
1.1 Angles, Degrees, and Triangles
1.2 Similar Triangles
1.3 Definition 1 of Trigonometric Functions: Right Triangle Ratios
1.4 Evaluating Trigonometric Functions: Exactly and with Calculators
1.5 Solving Right Triangles

2 Trigonometric Functions
2.1 Angles in the Cartesian Plane
2.2 Definition 2 of Trigonometric Functions: The Cartesian Plane
2.3 Evaluating Trigonometric Functions for Nonacute Angles
2.4 Basic Trigonometric Identities

3 Radian Measure and the Unit Circle Approach
3.1 Radian Measure
3.2 Arc Length and Area of a Circular Sector
3.3 Linear and Angular Speeds
3.4 Definition 3 of Trigonometric Functions: Unit Circle Approach

4 Graphing Trigonometric Functions
4.1 Basic Graphs of Sine and Cosine Functions: Amplitude and Period
4.2 Translations of the Sine and Cosine Functions: Addition of Ordinates
4.3 Graphs of Tangent, Cotangent, Secant, and Cosecant Functions

5 Trigonometric Identities
5.1 Trigonometric Identities
5.2 Sum and Difference Identities
5.3 Double-Angle Identities
5.4 Half-Angle Identities
5.5 Product-to-Sum and Sum-to-Product Identities

6 Solving Trigonometric Equations
6.1 Inverse Trigonometric Functions
6.2 Solving Trigonometric Equations That Involve Only One Trigonometric Function
6.3 Solving Trigonometric Equations That Involve Multiple Trigonometric Functions

7 Applications of Trigonometry: Triangles and Vectors
7.1 Oblique Triangles and the Law of Sines
7.2 The Law of Cosines
7.3 The Area of a Triangle
7.4 Vectors
7.5 The Dot Product

8 Complex Numbers, Polar Coordinates, and Parametric Equations
8.1 Complex Numbers
8.2 Polar (Trigonometric) Form of Complex Numbers
8.3 Products, Quotients, Powers, and Roots of Complex Numbers: De Moivre’s Theorem
8.4 Polar Equations and Graphs
8.5 Parametric Equations and Graphs
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